Question

A car accelerates from 20m/s to 40 m/s in 5 seconds. What is its acceleration?

Answer 1

Answer :

Initial velocity = 20m/s

Final velocity = 40m/s

Time interval = 5s

We have to find acceleration of car$.$

★ Acceleration is defined as the rate of change of velocity.

• a = (v - u)/t

It is a vector quantity having both magnitude as well as direction.

It can be positive, negative or zero.

SI unit : m/s²

⭆ a = (v - u)/t

⭆ a = (40 - 20)/5

⭆ a = 20/5

⭆ a = 4m/s²

Cheers!

Answer 2

Given :

• Initial velocity (u) = 20 m/s
• Final velocity (v) = 40 m/s
• Time (t) = 5 seconds

To find :

• Acceleration (a)

According to the question,

➤ Here we will use the formula of acceleration,

$\tt {{ \boxed{ \sf{Acceleration = \frac{Final \: velocity - Initial \: velocity}{Time \: taken} }}}}$

$: \implies \sf{Acceleration = \frac{40 - 20}{5} }$

$: \implies \sf{Acceleration = \cancel \frac{20}{5} = 4 \: {ms}^{2} }$

$: \implies {\boxed{ \sf{Acceleration = 4 \: {ms}^{2} }}} \green \bigstar$

So,the acceleration is 4 m/s²...

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• First equation of motion

$\sf{v = u + at}$

• Second equation of motion

$\sf{s = ut + \frac{1}{2} {at}^{2} }$

• Third equation of motion

$\sf{ {v}^{2} = {u}^{2} + at }$